Rings and Modules in Kan Spectra

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475895" target="_blank" >RIV/00216208:11320/23:10475895 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3b1rPoqX3r" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3b1rPoqX3r</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10485-023-09719-y" target="_blank" >10.1007/s10485-023-09719-y</a>

Result language

angličtina

Original language name

Rings and Modules in Kan Spectra

Original language description

The purpose of this paper is to set up derived categories of sheaves of E-8-rings and modules over non-derived sites, in particular over topological spaces. This theory opens up certain new capabilities in spectral algebra. For example, as outlined in the last section of the present paper, using these concepts, one can conjecture a spectral algebra-based generalization of the geometric Langlands program to manifolds of dimension &gt; 2. As explained in a previous paper (Chen et al. in Theory Appl Categ 32:1363-1396, 2017) the only theory of sheaves of spectra on non-derived sites known to date which has well-behave pushforwards is based on Kan spectra, which, however, are reputed not to possess a smash product rigid enough for discussing E-8-objects. The bulk of this paper is devoted to remedying this situation, i.e. defining a more rigid smash product of Kan spectra, and using it to construct the desired derived categories.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Applied Categorical Structures

ISSN

0927-2852

e-ISSN

1572-9095

Volume of the periodical

31

Issue of the periodical within the volume

2

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

33

Pages from-to

18

UT code for WoS article

000964461900001

EID of the result in the Scopus database

2-s2.0-85152687855